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Finding the Fourth Proportional to 511,660.95, 706,086.52 and 282,227.92

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Solution

The fourth proportional to 511,660.95, 706,086.52 and 282,227.92 is: 389,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,660.95 : 706,086.52 = 282,227.92 : x
  2. Step 2: Convert to fraction form
    511,660.95/706,086.52 = 282,227.92/x
  3. Step 3: Cross multiply
    511,660.95x = 706,086.52 × 282,227.92
  4. Step 4: Simplify right side
    511,660.95x = 199,277,329,394.72
  5. Step 5: Solve for x
    x = 199,277,329,394.72/511,660.95
  6. Step 6: Final answer
    x = 389,471.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.